Terminal-Pairability in Complete Bipartite Graphs

Autor: Colucci, Lucas, Erdős, Péter L., Győri, Ervin, Mezei, Tamás Róbert
Rok vydání: 2017
Předmět:
Zdroj: Discrete Applied Mathematics, Volume 236, 19 February 2018, Pages 459-463
Druh dokumentu: Working Paper
DOI: 10.1016/j.dam.2017.10.026
Popis: We investigate the terminal-pairibility problem in the case when the base graph is a complete bipartite graph, and the demand graph is also bipartite with the same color classes. We improve the lower bound on maximum value of $\Delta(D)$ which still guarantees that the demand graph $D$ is terminal-pairable in this setting. We also prove a sharp theorem on the maximum number of edges such a demand graph can have.
Comment: 8 pages, several typos corrected
Databáze: arXiv